The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA

Journal of High Energy Physics, Aug 2018

Abstract The geometry of the \( \mathcal{N}=3 \), SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the \( \mathcal{N}=3 \) vacuum of D = 4 \( \mathcal{N}=8 \) dyonic ISO(7) supergravity is investigated. Firstly, a D = 4, SO(4)-invariant restricted duality hierarchy is constructed and used to uplift the entire, dynamical SO(4)-invariant sector to massive type IIA. The resulting consistent uplift formulae are used to obtain a new local expression for the \( \mathcal{N}=3 \) AdS4 solution in massive IIA and analyse its geometry. Locally, the internal S6 geometry corresponds to a warped fibration of S2 and a hemisphere of S4. This can be regarded as a warped generalisation of the usual twistor fibration geometry. Finally, the triplet of Killing spinors corresponding to the \( \mathcal{N}=3 \) solution are constructed and shown to obey the massive type IIA Killing spinor equations.

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The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA

Journal of High Energy Physics August 2018, 2018:133 | Cite as The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA AuthorsAuthors and affiliations G. Bruno De LucaGabriele Lo MonacoNiall T. MacphersonAlessandro TomasielloOscar Varela Open Access Regular Article - Theoretical Physics First Online: 22 August 2018 Received: 24 May 2018 Revised: 02 July 2018 Accepted: 20 July 2018 20 Downloads Abstract The geometry of the \( \mathcal{N}=3 \), SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the \( \mathcal{N}=3 \) vacuum of D = 4 \( \mathcal{N}=8 \) dyonic ISO(7) supergravity is investigated. Firstly, a D = 4, SO(4)-invariant restricted duality hierarchy is constructed and used to uplift the entire, dynamical SO(4)-invariant sector to massive type IIA. The resulting consistent uplift formulae are used to obtain a new local expression for the \( \mathcal{N}=3 \) AdS4 solution in massive IIA and analyse its geometry. Locally, the internal S6 geometry corresponds to a warped fibration of S2 and a hemisphere of S4. This can be regarded as a warped generalisation of the usual twistor fibration geometry. Finally, the triplet of Killing spinors corresponding to the \( \mathcal{N}=3 \) solution are constructed and shown to obey the massive type IIA Killing spinor equations. Keywords AdS-CFT Correspondence Flux compactifications Supergravity Models Superstring Vacua  ArXiv ePrint: 1805.04823 Download to read the full article text Notes Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. References [1] L.J. Romans, Massive N = 2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [2] A. Guarino, D.L. Jafferis and O. Varela, String Theory Origin of Dyonic N = 8 Supergravity and Its Chern-Simons Duals, Phys. Rev. Lett. 115 (2015) 091601 [arXiv:1504.08009] [INSPIRE].ADSCrossRefGoogle Scholar [3] A. Guarino and O. Varela, Consistent \( \mathcal{N}=8 \) truncation of massive IIA on S 6, JHEP 12 (2015) 020 [arXiv:1509.02526] [INSPIRE].ADSzbMATHGoogle Scholar [4] G. Dall’Agata, G. Inverso and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys. Rev. Lett. 109 (2012) 201301 [arXiv:1209.0760] [INSPIRE].ADSCrossRefGoogle Scholar [5] G. Dall’Agata, G. Inverso and A. Marrani, Symplectic Deformations of Gauged Maximal Supergravity, JHEP 07 (2014) 133 [arXiv:1405.2437] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [6] G. Inverso, Electric-magnetic deformations of D = 4 gauged supergravities, JHEP 03 (2016) 138 [arXiv:1512.04500] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [7] O. Varela, AdS 4 solutions of massive IIA from dyonic ISO(7) supergravity, JHEP 03 (2016) 071 [arXiv:1509.07117] [INSPIRE].ADSCrossRefGoogle Scholar [8] Y. Pang and J. Rong, N = 3 solution in dyonic ISO(7) gauged maximal supergravity and its uplift to massive type IIA supergravity, Phys. Rev. D 92 (2015) 085037 [arXiv:1508.05376] [INSPIRE].ADSMathSciNetGoogle Scholar [9] K. Behrndt and M. Cvetič, General N = 1 supersymmetric flux vacua of (massive) type IIA string theory, Phys. Rev. Lett. 95 (2005) 021601 [hep-th/0403049] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [10] D. Lüst, F. Marchesano, L. Martucci and D. Tsimpis, Generalized non-supersymmetric flux vacua, JHEP 11 (2008) 021 [arXiv:0807.4540] [INSPIRE].MathSciNetCrossRefGoogle Scholar [11] F. Apruzzi, M. Fazzi, A. Passias, A. Rota and A. Tomasiello, Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity, Phys. Rev. Lett. 115 (2015) 061601 [arXiv:1502.06616] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [12] A. Rota and A. Tomasiello, AdS 4 compactifications of AdS 7 solutions in type-II supergravity, JHEP 07 (2015) 076 [arXiv:1502.06622] [INSPIRE].ADSCrossRefGoogle Scholar [13] D. Lüst and D. Tsimpis, Supersymmetric AdS 4 compactifications of IIA supergravity, JHEP 02 (2005) 027 [hep-th/0412250] [INSPIRE].CrossRefGoogle Scholar [14] M. Graña, R. Minasian, M. Petrini and A. Tomasiello, A Scan for new N = 1 vacua on twisted tori, JHEP 05 (2007) 031 [hep-th/0609124] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [15] A. Tomasiello, New string vacua from twistor spaces, Phys. Rev. D 78 (2008) 046007 [arXiv:0712.1396] [INSPIRE].ADSMathSciNetGoogle Scholar [16] P. Koerber, D. Lüst and D. Tsimpis, Type IIA AdS 4 compactifications on cosets, interpolations and domain walls, JHEP 07 (2008) 017 [arXiv:0804.0614] [INSPIRE].ADSCrossRefGoogle Scholar [17] M. Petrini and A. Zaffaroni, N = 2 solutions of massive type IIA and their Chern-Simons duals, JHEP 09 (2009) 107 [arXiv:0904.4915] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [18] D. Lüst and D. Tsimpis, New supersymmetric (...truncated)


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G. Bruno De Luca, Gabriele Lo Monaco, Niall T. Macpherson, Alessandro Tomasiello, Oscar Varela. The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA, Journal of High Energy Physics, 2018, pp. 133, Volume 2018, Issue 8, DOI: 10.1007/JHEP08(2018)133